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Finding the Fourth Proportional to 739.52, 1,108.56 and 657.92

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Solution

The fourth proportional to 739.52, 1,108.56 and 657.92 is: 986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.52 : 1,108.56 = 657.92 : x
  2. Step 2: Convert to fraction form
    739.52/1,108.56 = 657.92/x
  3. Step 3: Cross multiply
    739.52x = 1,108.56 × 657.92
  4. Step 4: Simplify right side
    739.52x = 729,343.80
  5. Step 5: Solve for x
    x = 729,343.80/739.52
  6. Step 6: Final answer
    x = 986.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.